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Finding the Fourth Proportional to 17,727, 24,448.35 and 10,652.06

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Solution

The fourth proportional to 17,727, 24,448.35 and 10,652.06 is: 14,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727 : 24,448.35 = 10,652.06 : x
  2. Step 2: Convert to fraction form
    17,727/24,448.35 = 10,652.06/x
  3. Step 3: Cross multiply
    17,727x = 24,448.35 × 10,652.06
  4. Step 4: Simplify right side
    17,727x = 260,425,168.86
  5. Step 5: Solve for x
    x = 260,425,168.86/17,727
  6. Step 6: Final answer
    x = 14,690.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.